3381895560240 has 560 divisors, whose sum is σ = 11987881297920. Its totient is φ = 886719674880.

The previous prime is 3381895560227. The next prime is 3381895560283. The reversal of 3381895560240 is 420655981833.

3381895560240 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 89 + 556 + 0 + 2 + 4 + 0 = 666.

3381895560240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3381895560240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1211713245 + ... + 1211716035.

Almost surely, 2^{3381895560240} is an apocalyptic number.

3381895560240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381895560240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993940648960).

3381895560240 is an abundant number, since it is smaller than the sum of its proper divisors (8605985737680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3381895560240 is a wasteful number, since it uses less digits than its factorization.

3381895560240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 3381895560240 in words is "three trillion, three hundred eighty-one billion, eight hundred ninety-five million, five hundred sixty thousand, two hundred forty".